On amenability and co-amenability of algebraic quantum groups and their corepresentations

On amenability and co-amenability of algebraic quantum groups and their corepresentations

We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Bedos, Erik Christopher, Conti, Roberto, Tuset, Lars
Format: Report
Sprache:eng
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories Subj. Class.: Quantum groups, representations and corepresentations, amenability. MSC 2000: Primary 46L05, 46L65. Secondary 22D10, 22D25, 43A07, 43A65, 58B32. Keywords: quantum group, amenability.